Search a number
-
+
42545152337 is a prime number
BaseRepresentation
bin100111100111111000…
…111000000101010001
311001211001012200010212
4213213320320011101
51144113024333322
631313414133505
73034210554002
oct474770700521
9131731180125
1042545152337
11170526a1726
1282b4351295
13402046076c
1420b86131a9
1511901810e2
hex9e7e38151

42545152337 has 2 divisors, whose sum is σ = 42545152338. Its totient is φ = 42545152336.

The previous prime is 42545152333. The next prime is 42545152361. The reversal of 42545152337 is 73325154524.

42545152337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36017966656 + 6527185681 = 189784^2 + 80791^2 .

It is a cyclic number.

It is not a de Polignac number, because 42545152337 - 22 = 42545152333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42545152294 and 42545152303.

It is not a weakly prime, because it can be changed into another prime (42545152333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21272576168 + 21272576169.

It is an arithmetic number, because the mean of its divisors is an integer number (21272576169).

Almost surely, 242545152337 is an apocalyptic number.

It is an amenable number.

42545152337 is a deficient number, since it is larger than the sum of its proper divisors (1).

42545152337 is an equidigital number, since it uses as much as digits as its factorization.

42545152337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 504000, while the sum is 41.

The spelling of 42545152337 in words is "forty-two billion, five hundred forty-five million, one hundred fifty-two thousand, three hundred thirty-seven".